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Atoine, J.-P.; Mathot, F.

Regular operators on partial inner product spaces. (English) Zbl 0521.47019

Ann. Inst. Henri Poincaré, Nouv. Sér., Sect. A 37, 29-50 (1982).
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MSC:

47B99 Special classes of linear operators
47A70 (Generalized) eigenfunction expansions of linear operators; rigged Hilbert spaces
47L10 Algebras of operators on Banach spaces and other topological linear spaces
46C99 Inner product spaces and their generalizations, Hilbert spaces
47A05 General (adjoints, conjugates, products, inverses, domains, ranges, etc.)
46K05 General theory of topological algebras with involution
17B15 Representations of Lie algebras and Lie superalgebras, analytic theory

Keywords:

operators on a partial inner product space; regular operators; *-algebra; Op*-algebra; rigged Hilbert space formulation of quantum mechanics; representation theory of Lie algebras
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References:

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